Ekström, Magnus
(2001).
*Nonparametric estimation of the variance of sample means based on nonstationary spatial data.*
Umeå:
(S) > Dept. of Forest Resource Management

(NL, NJ) > Dept. of Forest Resource Management, Sveriges lantbruksuniversitet.
Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik
; 88

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## Abstract

In Politis and Romano (1993), different block resampling estimators of variance of general linear statistics, e.g. a sample mean, were proposed under the assumption of stationarity. In the present paper such estimators of variance of sample means, computed from nonstationary spatially indexed data {Xi : i E A}, where A is a finite subset of the integer lattice Z2, are studied.

Consistency of estimators of variance will be shown for the following kind of data: Observations taken from different lattice points are allowed to come from different distributions, and the dependence structure is allowed to differ over the lattice. We assume that all observed values are from distributions with the same expected value, or with expected values that decompose additively into

directional components. Furthermore, it will be assumed that observations separated by a certain distance are independent.

Authors/Creators: | Ekström, Magnus | ||||
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Title: | Nonparametric estimation of the variance of sample means based on nonstationary spatial data | ||||

Alternative abstract: |
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Series/Journal: | Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik (1401-1204) | ||||

Year of publishing : | 2001 | ||||

Number: | 88 | ||||

Number of Pages: | 28 | ||||

Place of Publication: | Umeå | ||||

Publisher: | Institutionen för skoglig resurshushållning, Sveriges lantbruksuniversitet | ||||

ISSN: | 1401-1204 | ||||

Language: | English | ||||

Publication Type: | Report | ||||

Full Text Status: | Public | ||||

Agris subject categories.: | U Auxiliary disciplines > U10 Mathematical and statistical methods | ||||

Subjects: | (A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10101 Mathematical Analysis | ||||

Agrovoc terms: | data analysis, linear models, statistical methods, sampling | ||||

Keywords: | data analysis, linear models, statistical methods, sampling | ||||

URN:NBN: | urn:nbn:se:slu:epsilon-e-519 | ||||

Permanent URL: | http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-519 | ||||

ID Code: | 8846 | ||||

Department: | (S) > Dept. of Forest Resource Management (NL, NJ) > Dept. of Forest Resource Management | ||||

Deposited By: | Bo Jonsson | ||||

Deposited On: | 24 May 2012 09:03 | ||||

Metadata Last Modified: | 02 Dec 2014 10:50 |

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